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Finding the Fourth Proportional to 666,990, 920,347.02 and 405,209.34

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Solution

The fourth proportional to 666,990, 920,347.02 and 405,209.34 is: 559,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,990 : 920,347.02 = 405,209.34 : x
  2. Step 2: Convert to fraction form
    666,990/920,347.02 = 405,209.34/x
  3. Step 3: Cross multiply
    666,990x = 920,347.02 × 405,209.34
  4. Step 4: Simplify right side
    666,990x = 372,933,208,545.17
  5. Step 5: Solve for x
    x = 372,933,208,545.17/666,990
  6. Step 6: Final answer
    x = 559,128.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.